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Finding the Fourth Proportional to 202,634, 279,634.92 and 113,227.28

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Solution

The fourth proportional to 202,634, 279,634.92 and 113,227.28 is: 156,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,634 : 279,634.92 = 113,227.28 : x
  2. Step 2: Convert to fraction form
    202,634/279,634.92 = 113,227.28/x
  3. Step 3: Cross multiply
    202,634x = 279,634.92 × 113,227.28
  4. Step 4: Simplify right side
    202,634x = 31,662,301,384.62
  5. Step 5: Solve for x
    x = 31,662,301,384.62/202,634
  6. Step 6: Final answer
    x = 156,253.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.